Question

Ratio of Tom's age to Ben 's age is 3 : 1. Tom is 18 years old. How old is Ben? *
A. 5 years
B. 6 years
C. 17 years
D. 4 years​

Answer 1

AnswEr :

• The required age of ben is 6 years old.

⠀

Given :

• Ratio of Tom's age to Ben's age is 3:1 and Tom is 18 years old.

⠀

Unknown :

• How old is Ben?

⠀

Calculations :

⠀

Here in this question we are provided that Ratio of Tom's age to Ben 's age is 3:1, Tom is 18 years old and we are supposed to find out the age of Ben. So firstly we will assume the age of ben as a variable and after that we will solve the problem on the basic of conditions given above. Let's solve our problem and understanding the steps to get our present age of Ben.

⠀

Let us assume that the age of ben be x years.

⠀

Let's head to the Question now :

⠀

→ Tom : Ben = Tom : Ben

→ 3 : 1 = 18 : x

→ 3/1 = 18/x

→ 3 = 18/x

→ 3x = 18

→ x = 18/3

→ x = 6

⠀

Hence, the required age of ben is 6 years old.

Answer 2

Given :-

Ratio Tom's age to Ben 's age is 3 : 1. Tom is 18 years old.

To Find :-

Age of Ben

Solution :-

Let the age of Tom be 3x and Ben age be 1x

Give that, Age of Tom is 18

3x = 18

x = 18/3

x = 6 years

Agr of Ben = 1x

1x = 1(6)

1x = 6 years

Hence

Option B is correct. ✔

[tex][/tex]